Sur quelques aspects combinatoires du calcul des probabilités
Sur quelques formes quadratiques associées à des partitions d'entiers
Sur quelques théorèmes d'analyse et d'arithmétique
Sur un problème de permutations successives, nommé battement de Monge
Sur un problème d'optimisation en nombres entiers de T.L. Saaty
Sur un problème d'ordre lié à la permutation de variables
Sur un théorème de M. Weill
Sur une construction de Gilbert de B. Robinson
Symbol-crunching with the transfer-matrix method in order to count skinny physical creatures.
Symbolic summation assists combinatorics.
Symmetric functions and multivariate basic hypergeometric series. (Fonctions symétriques et séries hypergéométriques basiques multivariées.)
Symmetric identity for polynomial sequences satisfying
Using umbral calculus, we establish a symmetric identity for any sequence of polynomials satisfying with a constant polynomial. This identity allows us to obtain in a simple way some known relations involving Apostol-Bernoulli polynomials, ApostolEuler polynomials and generalized Bernoulli polynomials attached to a primitive Dirichlet character.
Symmetric inclusion-exclusion.
Symmetric monoidal completions and the exponential principle among labeled combinatorial structures.
Symmetric partitions and pairings
The lattice of partitions and the sublattice of non-crossing partitions of a finite set are important objects in combinatorics. In this paper another sublattice of the partitions is investigated, which is formed by the symmetric partitions. The measure whose nth moment is given by the number of non-crossing symmetric partitions of n elements is determined explicitly to be the "symmetric" analogue of the free Poisson law.
Symmetric powers of cyclic sets and product decompositions of generating functions. (Symmetrische Potenzen zyklischer Mengen und Produktzerlegungen von erzeugenden Funktionen.)
Symmetric subsets of lattice paths.
Symmetric sum-free partitions and lower bounds for Schur numbers.
Symmetries in Steinhaus triangles and in generalized Pascal triangles.
Symmetries of random discrete copulas
In this paper we analyze some properties of the discrete copulas in terms of permutations. We observe the connection between discrete copulas and the empirical copulas, and then we analyze a statistic that indicates when the discrete copula is symmetric and obtain its main statistical properties under independence. The results obtained are useful in designing a nonparametric test for symmetry of copulas.